jaxeylindholm jaxeylindholm

13-04-2020
Mathematics

contestada

A virus is spreading through a computer network according to the
formula v(t) = 30e^0.1t, where v is the number of computers infected and t is the time in
minutes. How long will it take the virus to infect 10,000 computers?
10,000(t) = 30e^0.1t

Respuesta :

MathPhys MathPhys

13-04-2020

Answer:

58.1 minutes

Step-by-step explanation:

v(t) = 30e^(0.1t)

10,000 = 30e^(0.1t)

1000/3 = e^(0.1t)

ln(1000/3) = 0.1t

t = 10 ln(1000/3)

t ≈ 58.1

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